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Find the General Solution of the Following Equation: Cos X = − √ 3 2 - Mathematics

Sum

Find the general solution of the following equation:

\[\cos x = - \frac{\sqrt{3}}{2}\]
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Solution

We have:
\[\cos x = - \frac{\sqrt{3}}{2}\]
The value of x satisfying 

\[\cos x = - \frac{\sqrt{3}}{2}\] is \[\frac{7\pi}{6}\]
⇒ \[\cos x = \cos\frac{7\pi}{6}\]
⇒ \[x = 2n\pi \pm \frac{7\pi}{6}\]
\[n \in Z\]
  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 11 Trigonometric equations
Exercise 11.1 | Q 1.2 | Page 21
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